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Finding the Third Proportional to 108,748 and 230,551

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Solution

The third proportional to 108,748 and 230,551 is: 488,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,748 : 230,551 = 230,551 : x
  2. Step 2: Convert to fraction form
    108,748/230,551 = 230,551/x
  3. Step 3: Cross multiply
    108,748x = 230,551 × 230,551
  4. Step 4: Simplify right side
    108,748x = 53,153,763,601
  5. Step 5: Solve for x
    x = 53,153,763,601/108,748
  6. Step 6: Final answer
    x = 488,779.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.